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Results (6 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
724.1.c.a	$724$	$1$	724.c	724.c	$2$	$2$	$2$	$0.361$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-181}) \)	None	✓	$2$	$0$	\(-2\)	\(0\)	\(-1\)	\(1\)	$1$		\(q-q^{2}+q^{4}+(-1+\beta )q^{5}+\beta q^{7}-q^{8}+\cdots\)
724.1.c.b	$724$	$1$	724.c	724.c	$2$	$2$	$2$	$0.361$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-181}) \)	None	✓	$2$	$0$	\(2\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}+q^{4}+(-1+\beta )q^{5}-\beta q^{7}+q^{8}+\cdots\)
2896.1.e.a	$2896$	$1$	2896.e	724.c	$2$	$1$	$1$	$1.445$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-181}) \)	\(\Q(\sqrt{181}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+2q^{5}+q^{9}-2q^{13}+3q^{25}+2q^{29}+\cdots\)
2896.1.e.b	$2896$	$1$	2896.e	724.c	$2$	$4$	$4$	$1.445$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-181}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+(-1-\beta _{2})q^{5}-\beta _{1}q^{7}+q^{9}-\beta _{2}q^{13}+\cdots\)
3620.1.f.h	$3620$	$1$	3620.f	3620.f	$2$	$2$	$2$	$1.807$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-181}) \)	\(\Q(\sqrt{905}) \)		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-iq^{2}-q^{4}-q^{5}+iq^{7}+iq^{8}-q^{9}+\cdots\)
3620.1.f.k	$3620$	$1$	3620.f	3620.f	$2$	$8$	$8$	$1.807$	\(\Q(\zeta_{20})\)	$D_{10}$	\(\Q(\sqrt{-181}) \)	None		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\zeta_{20}^{5}q^{2}-q^{4}-\zeta_{20}^{4}q^{5}+(-\zeta_{20}^{3}+\cdots)q^{7}+\cdots\)